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Finding the Fourth Proportional to 11,505.86, 17,257.06 and 4,489.03

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Solution

The fourth proportional to 11,505.86, 17,257.06 and 4,489.03 is: 6,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.86 : 17,257.06 = 4,489.03 : x
  2. Step 2: Convert to fraction form
    11,505.86/17,257.06 = 4,489.03/x
  3. Step 3: Cross multiply
    11,505.86x = 17,257.06 × 4,489.03
  4. Step 4: Simplify right side
    11,505.86x = 77,467,460.05
  5. Step 5: Solve for x
    x = 77,467,460.05/11,505.86
  6. Step 6: Final answer
    x = 6,732.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.